Fox And Mcdonald's Introduction To Fluid Mechanics
9th Edition
ISBN: 9781118921876
Author: Pritchard, Philip J.; Leylegian, John C.; Bhaskaran, Rajesh
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 3, Problem 33P
Consider a small-diameter open-ended tube inserted at the interface between two immiscible fluids of different densities. Derive an expression for the height difference Δh between the interface level inside and outside the tube in terms of tube diameter D, the two fluid densities ρ1 and ρ2, and the surface tension σ and angle θ for the two fluids’ interface. If the two fluids are water and mercury, find the height difference if the tube diameter is 40 mils (1 mil = 0.001 in.).
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Find the capillary rise ( h) in the tube shown in the figure for a water-air-glass interface with e= 10° if the tube diameter (D) is 4 mm and the temperature is 20 °C. Take surface tension ( o )= 0.1 N/m.
L1
= 12.0 cm
L3 = 5.0 cm
Oil
L2 10.8 cm
Water
Problem 2: A glass tube containing oil is inserted into a tank of water, as shown in the figure. Using the
data on the figure, calculate the oil density. Assume the water temperature is 10 °C
A semicircular, hinged gate separates two fluids on either side of a partition. Part (a) of the figure shows the geometry of the gate, and part (b) of the figure shows the whole system in side view. The radius of the gate (4 m) is equal to the height of the fluid on the right side of the gate (fluid 2), and the specific weight ratio of the fluids is γ2/γ1 = 1.5. At what height, h, will thegate just start to open?
Chapter 3 Solutions
Fox And Mcdonald's Introduction To Fluid Mechanics
Ch. 3 - Because the pressure falls, water boils at a lower...Ch. 3 - Ear popping is an unpleasant phenomenon sometimes...Ch. 3 - When you are on a mountain face and boil water,...Ch. 3 - Your pressure gauge indicates that the pressure in...Ch. 3 - A 125-mL cube of solid oak is held submerged by a...Ch. 3 - The tube shown is filled with mercury at 20C....Ch. 3 - Calculate the absolute and gage pressure in an...Ch. 3 - An open vessel contains carbon tetrachloride to a...Ch. 3 - A hollow metal cube with sides 100 mm floats at...Ch. 3 - Compressed nitrogen (140 lbm) is stored in a...
Ch. 3 - If at the surface of a liquid the specific weight...Ch. 3 - In the deep ocean the compressibility of seawater...Ch. 3 - Assuming the bulk modulus is constant for sea...Ch. 3 - An inverted cylindrical container is lowered...Ch. 3 - A water tank filled with water to a depth of 16 ft...Ch. 3 - A partitioned tank as shown contains water and...Ch. 3 - Consider the two-fluid manometer shown. Calculate...Ch. 3 - The manometer shown contains water and kerosene....Ch. 3 - Determine the gage pressure in kPa at point a, if...Ch. 3 - With the manometer reading as shown, calculate px....Ch. 3 - Calculate px py for this inverted U-tube...Ch. 3 - An inclined gauge having a tube of 3-mm bore, laid...Ch. 3 - Water flows downward along a pipe that is inclined...Ch. 3 - A reservoir manometer has vertical tubes of...Ch. 3 - A rectangular tank, open to the atmosphere, is...Ch. 3 - The sketch shows a sectional view through a...Ch. 3 - The manometer reading is 6 in. when the funnel is...Ch. 3 - A reservoir manometer is calibrated for use with a...Ch. 3 - The inclined-tube manometer shown has D = 96 mm...Ch. 3 - The inclined-tube manometer shown has D = 76 mm...Ch. 3 - A barometer accidentally contains 6.5 inches of...Ch. 3 - A water column stands 50 mm high in a 2.5-mm...Ch. 3 - Consider a small-diameter open-ended tube inserted...Ch. 3 - Compare the height due to capillary action of...Ch. 3 - If atmospheric pressure at the ground is 101.3 kPa...Ch. 3 - If the temperature in the atmosphere is assumed to...Ch. 3 - A hydropneumatic elevator consists of a...Ch. 3 - Semicircular plane gate AB is hinged along B and...Ch. 3 - A circular gate 3 m in diameter has its center 2.5...Ch. 3 - For the situation shown, find the air pressure in...Ch. 3 - What is the pressure at A? Draw a free body...Ch. 3 - A plane gate of uniform thickness holds back a...Ch. 3 - A rectangular gate (width w = 2 m) is hinged as...Ch. 3 - Gates in the Poe Lock at Sault Ste. Marie,...Ch. 3 - Calculate the minimum force P necessary to hold a...Ch. 3 - Calculate magnitude and location of the resultant...Ch. 3 - Calculate magnitude and location of the resultant...Ch. 3 - A window in the shape of an isosceles triangle and...Ch. 3 - A large open tank contains water and is connected...Ch. 3 - The circular access port in the side of a water...Ch. 3 - The gate AOC shown is 6 ft wide and is hinged...Ch. 3 - The gate shown is hinged at H. The gate is 3 m...Ch. 3 - For the dam shown, what is the vertical force of...Ch. 3 - The parabolic gate shown is 2 m wide and pivoted...Ch. 3 - An open tank is filled with water to the depth...Ch. 3 - A dam is to be constructed using the cross-section...Ch. 3 - The quarter cylinder AB is 10 ft long. Calculate...Ch. 3 - Calculate the magnitude, direction (horizontal and...Ch. 3 - A hemispherical shell 1.2 m in diameter is...Ch. 3 - A cylindrical weir has a diameter of 3 m and a...Ch. 3 - If you throw an anchor out of your canoe but the...Ch. 3 - A hydrometer is a specific gravity indicator, the...Ch. 3 - A cylindrical can 76 mm in diameter and 152 mm...Ch. 3 - If the 10-ft-long box is floating on the oil-water...Ch. 3 - The timber weighs 40 lb/ft3 and is held in a...Ch. 3 - Find the specific weight of the sphere shown if...Ch. 3 - The fat-to-muscle ratio of a person may be...Ch. 3 - An open tank is filled to the top with water. A...Ch. 3 - If the timber weighs 670 N, calculate its angle of...Ch. 3 - The barge shown weighs 40 tons and carries a cargo...Ch. 3 - Quantify the experiment performed by Archimedes to...Ch. 3 - Hot-air ballooning is a popular sport. According...Ch. 3 - It is desired to use a hot air balloon with a...Ch. 3 - The opening in the bottom of the tank is square...Ch. 3 - A balloon has a weight (including crew but not...Ch. 3 - A helium balloon is to lift a payload to an...Ch. 3 - The stem of a glass hydrometer used to measure...Ch. 3 - A sphere of radius R is partially immersed to...Ch. 3 - A sphere of 1-in.-radius made from material of...Ch. 3 - You are in the Bermuda Triangle when you see a...Ch. 3 - Three steel balls (each about half an inch in...Ch. 3 - A proposed ocean salvage scheme involves pumping...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
Sorted Names Design a program that allows the user to enter 20 names into a String array. Sort the array in asc...
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
Big data Big data describes datasets with huge volumes that are beyond the ability of typical database manageme...
Management Information Systems: Managing The Digital Firm (16th Edition)
If the Vole executes an instruction every microsecond (a millionth of a second), how long does it take to compl...
Computer Science: An Overview (13th Edition) (What's New in Computer Science)
State whether each of the following is true or false. A set of statements contained within a pair of parenthese...
Java How to Program, Early Objects (11th Edition) (Deitel: How to Program)
37. A 10-liter [L] flask contains 5 moles [mol] of gas at a pressure of 15 atmospheres [atm]. What is the tempe...
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Use the following tables for your answers to questions 3.7 through 3.51 : PET_OWNER (OwnerID, OwnerLasst Name, ...
Database Concepts (8th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A gate having a cross-sectional area of quarter circle is used to control the water flow of a reservoir as shown below. The quarter circle has a radius of R = 1 m, and its weight is 40 × 103 N per unit width (into the page). A pin is used to connect the gate with a vertical wall. At which height h of water does the gate open. Assume that water temperature is 20°, and use the standard value of the gravitational acceleration. If needed, use the table for area and centroid attached to the end of this homework. Water Pin 1 m Gate P 1 marrow_forwardProblem 2: The capillary rise of a fluid along the walls of the tube causes the fluid to rise a distance h. This effect depends upon the diameter d of the tube, the surface tension o, the density p of the fluid, and the gravitational acceleration g. Show how to obtain the two Pi terms h/d and o/pd2g, where q = h and s (meaning h and s are the non-repeating parameters). If an experiment is performed using water at a temperature of 50°C, and the surface tension is s = 0.08 N/m, the following data is obtained of the height h versus the diameter d of the tube. Use the data and plot the relationship between the two Pi terms. Use the M-L-T System. d h (mm) d (mm) 60.12 30.06 20.04 14.84 12.02 10.02 0.5 NH 35555 1 1.5 2 2.5arrow_forwardI need the answerarrow_forward
- You are being asked to determine the heights in tubes B and C (relative to z=0) given the following information: The specific weight of Air is Pair = 11.9N/m3 The specific weight of glycerine is Paiye = 12355N/m3 The specific weight of gasoline is Pgas = 6677N/m3 The gauge pressure at A is Pa = 1.6kPa The height of the tank of air is a = 1.7m The height of the tank of gasoline is y = 1.6m The height of the tank of glyercin is k = 0.95m A в с xm Air y m Gasoline k m Glycerin z = 0 As a HINT, you do not need to know the specific elevations of the tubes B and C entering their respective fluids, but you do need to account for this. Input the height the fluid rises in B to 2 decimal places here: (in metres) Input the height the fluid rises in C to 2 decimal places here: (in metres)arrow_forwardAn open cylindrical tank with the curved portion restraining a body of static fluid as shown in the plot below. The fluid in the tank is water. The room temperature is T=[t] 20 °C. The height from the free surface to the beginning of the curved surface is H= 3.00m. The The shape of the curved surface is a quarter circle.The radius of the circle is R= 1.70m. The width of the cylindrical tank w= 1.3 m (perpendicular to the screen). Answer the questions based on conditions provided. Horizontal distance to the centroid of the rectangular area (A1) above the curved surface from the right boundary of the curved surface, x1 ___________ (m)arrow_forwardDarrow_forward
- Figure 1 shows a box of mass m that is supported on a surface inclined at angle 0 to the horizontal. The surface is covered with a thin layer of viscous oil that generates a resistance to any sliding movement of the box such that the resisting force is F =-qv, where v is the sliding velocity. At time t=0 the velocity of the box up the incline is v, . m Figure 1 When the units of the drag force are [N] and the units of velocity are [m/sec], state the units of the coefficient q. (a) After a long time has passed, what will be the speed of the box? State clearly the principle that enabled you to obtain this result without solving the differential equation of motion. (b) (c) By counting the number of energy storage elements, what order do you expect the system dynamic equation to be? (d) Derive the differential equation governing the velocity of the box. (e) By inspection of your differential equation, state the system time constant. (f) Solve the differential equation derived in part (d)…arrow_forwardA gas under a pressure of 1 MPa absolute has a specific weight of 99 N/m^3. What is the value of R for the gas if T = 60°C?arrow_forwardIn medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed. If the fluid rises to a height of 160 mm, we write its gauge pressure as 160 mm H2O. (a) Express this pressure in pascals, in atmospheres, and in millimeters of mercury.arrow_forward
- In medical work, pressures are often measured in units of mm of H2O because body fluids, including the cerebrospinal fluid, typically have nearly the same density as water. The pressure of the cerebrospinal fluid can be measured by means of a spinal tap. A hollow tube is inserted into the spinal column, and the height to which the fluid rises is observed. If the fluid rises to a height of 160 mm, we write its gauge pressure as 160 mm H2O. a) Sometimes it is necessary to determine whether an accident victim has suffered a crushed vertebra that is blocking the flow of cerebrospinal fluid in the spinal column. In other cases, a physician may suspect that a tumor or other growth is locking the spinal column and inhibiting the flow of cerebrospinal fluid. Such conditions can be investigated by means of the Queckensted test. In this procedure the veins in the patient’s neck are compressed, to make the blood pressure rise in the brain. The increase in pressure in the blood vessels is…arrow_forwardWhen a liquid of volume 4 liter is subjected to an additional pressure of 5 x 107 N/m2, the change in the volume is found to be 4 ml, calculate the Bulk modulus of the liquidarrow_forwardA capillary rise experiment is proposed for a high school physics class. The students are told that for water in clean glass tubes, the contact angle between liquid and glass (θ)is 90°. The students are asked to measure capillary rise in a series of tube diameters (D=0.02, 0.04, 0.06, 0.08, and 0.10 in.). They are then asked to graph the results and determine the approximate tube diameters that would produce capillary rises of 1.5, 1.0, and 0.5 in. Predict the results if the water used in the experiment is at 20°C. The Provided answers for h=1.5 in D=0.0301 inforh=1.0 in D=0.0452 infor h=0.5 in,D=0.0904 in Can not figure this out .arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Properties of Fluids: The Basics; Author: Swanson Flo;https://www.youtube.com/watch?v=TgD3nEO1iCA;License: Standard YouTube License, CC-BY
Fluid Mechanics-Lecture-1_Introduction & Basic Concepts; Author: OOkul - UPSC & SSC Exams;https://www.youtube.com/watch?v=6bZodDnmE0o;License: Standard Youtube License